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Finding the Third Proportional to 430,503.75 and 939,689.25

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Solution

The third proportional to 430,503.75 and 939,689.25 is: 2,051,122.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,503.75 : 939,689.25 = 939,689.25 : x
  2. Step 2: Convert to fraction form
    430,503.75/939,689.25 = 939,689.25/x
  3. Step 3: Cross multiply
    430,503.75x = 939,689.25 × 939,689.25
  4. Step 4: Simplify right side
    430,503.75x = 883,015,886,565.56
  5. Step 5: Solve for x
    x = 883,015,886,565.56/430,503.75
  6. Step 6: Final answer
    x = 2,051,122.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.